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122642056161 = 3213626895129
BaseRepresentation
bin111001000111000001…
…0010100001111100001
3102201120010122222012100
41302032002110033201
54002132331244121
6132201352521013
711601120164022
oct1621602241741
9381503588170
10122642056161
1148015275009
121b9286b0169
13b746693a01
145d161b4c49
1532cbde2026
hex1c8e0943e1

122642056161 has 6 divisors (see below), whose sum is σ = 177149636690. Its totient is φ = 81761370768.

The previous prime is 122642056157. The next prime is 122642056177. The reversal of 122642056161 is 161650246221.

122642056161 is a `hidden beast` number, since 1 + 2 + 2 + 642 + 0 + 5 + 6 + 1 + 6 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 110835060561 + 11806995600 = 332919^2 + 108660^2 .

It is not a de Polignac number, because 122642056161 - 22 = 122642056157 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122642056111) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6813447556 + ... + 6813447573.

Almost surely, 2122642056161 is an apocalyptic number.

It is an amenable number.

122642056161 is a deficient number, since it is larger than the sum of its proper divisors (54507580529).

122642056161 is a wasteful number, since it uses less digits than its factorization.

122642056161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13626895135 (or 13626895132 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 122642056161 in words is "one hundred twenty-two billion, six hundred forty-two million, fifty-six thousand, one hundred sixty-one".

Divisors: 1 3 9 13626895129 40880685387 122642056161